Density, distribution function, quantile function, hazard function,
cumulative hazard function, and random generation for the EV distribution
with parameters shape
and scale
.
dEV(x, shape = 1, scale = 1, log = FALSE)
pEV(q, shape = 1, scale = 1, lower.tail = TRUE, log.p = FALSE)
qEV(p, shape = 1, scale = 1, lower.tail = TRUE, log.p = FALSE)
hEV(x, shape = 1, scale = 1, log = FALSE)
HEV(x, shape = 1, scale = 1, log.p = FALSE)
rEV(n, shape = 1, scale = 1)
dEV
gives the density, pEV
gives the distribution
function, qEV
gives the quantile function, hEV
gives the
hazard function, HEV
gives the cumulative hazard function, and
rEV
generates random deviates.
Invalid arguments will result in return value NaN
, with a warning.
shape and scale parameters, both defaulting to 1.
logical; if TRUE (default), probabilities are \(P(X \le x)\), otherwise, \(P(X > x)\).
vector of quantiles.
vector of probabilities.
number of observations. If length(n) > 1
, the length is
taken to be the number required.
logical; if TRUE, probabilities p are given as log(p).
The EV distribution with scale
parameter \(a\) and shape
parameter \(\sigma\) has hazard function given by $$h(x) =
(b/\sigma)(x/\sigma)^(b-1)\exp((x / \sigma)^b)$$ for \(x \ge 0\).